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Finding the Fourth Proportional to 120.75, 166.55 and 83.91

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Solution

The fourth proportional to 120.75, 166.55 and 83.91 is: 115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.75 : 166.55 = 83.91 : x
  2. Step 2: Convert to fraction form
    120.75/166.55 = 83.91/x
  3. Step 3: Cross multiply
    120.75x = 166.55 × 83.91
  4. Step 4: Simplify right side
    120.75x = 13,975.21
  5. Step 5: Solve for x
    x = 13,975.21/120.75
  6. Step 6: Final answer
    x = 115.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.